Geodesic
Fixed point results for generalized $\alpha$-$\psi$-contractions in metric-like spaces and applications
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we introduce the concept of generalized $\alpha{-}\psi$-contraction in the context of metric-like spaces and establish some related fixed point theorems. As consequences, we obtain some known fixed point results in the literature. Some examples and an application on two-point boundary value problems for second order differential equation are also considered.
Classification : 47H10, 54H25
Keywords: metric-like, alpha-admissible mappings, fixed point 
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     author = {Aydi, Hassen and Karapinar, Erdal},
     title = {Fixed point results for generalized $\alpha$-$\psi$-contractions in metric-like spaces and applications},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a63/}
}
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Aydi, Hassen; Karapinar, Erdal. Fixed point results for generalized $\alpha$-$\psi$-contractions in metric-like spaces and applications. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a63/